**MATH 141 -
PRECALCULUS**

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**¥ ALEKS EXTRA CREDIT!**

(This review can especially help with the very
difficult Quiz 1A.)

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GETTING STARTED: **ALEKS: Getting Started
(.pdf) É ** **Orientation
Quick Tips (.pdf) É Orientation PowerPoint
(.ppt) É Registration - No
Code

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IF YOU LIKE ALEKS, BUT YOU FIND THE PACE IN 141 TO BE TOO FAST, TRY THE MATH
15s!**

TheyÕre great, 1-unit, online, ALEKS-based,
self-paced refreshers that have helped many students. 15E is trig; 15F is
college algebra. A Òno-passÓ does not affect GPA, though it does appear on your
transcript; itÕs mostly a problem if youÕre on academic probation. 15E includes
15D (geometry). Instead of enrolling in both 15E and 15F, contact the instructor,
and s/he may be able to make arrangements with you to just enroll in one
Precalculus class, though you may be facing material you havenÕt seen yet.

These are offered a couple of times throughout the
semester. You could take more than one in one semester! Get a good foundation
for your classes!

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file)

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*¥ Printing Suggestions for Typed Files*

I recommend two-page-to-a-side and/or double-sided printing to
save paper. Color printing is nice, but B&W printing is cheaper.

These
are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is
compatible with your system!

*¥ Class Notes*

¥
Many students benefit from **printing the notes**
for a lecture beforehand, **reviewing** them, and **commenting** on them
in class.

¥
You may want to take personalized Òsketch notesÓ in
class.

Creative Commons License: For
Òattribution,Ó simply mention my name and/or web URL somewhere if youÕre using
huge chunks of the notes. I simply want due credit.

**¥ CORRECTION to 1.2.3! **In the middle of page 1.2.3, -9 (instead of 9)
is not in the domain of *f*.

Notes for Quiz 1A and
Quiz 1B (last revised 1/27/13)

¥
Chapter 0: Preliminary Topics: (last revised 1/27/13)

**¥ NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11): **https://www.youtube.com/watch?v=IfpkQVyqK7c

¥
Chapter 1: Functions

**¥ MATH DANCES FOR GRAPHING!**

¥ http://9gag.com/gag/4419992/do-the-math-dance
(correction: x^2 + y^2 = r^2)

¥ http://www.seyedrezabazyar.com/fa/math-dances/

¥ https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/
(see the dance!)

**¥
(The following notes will be revised for later semesters. Section and page
references may be inconsistent with the new Chapters 0 and 1. Please **Email me **with comments/suggestions.)**

¥
Chapter 2: Polynomial and Rational Functions

¥
Chapter 3: Exponential and Logarithmic Functions

**¥ CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH: **https://www.youtube.com/watch?v=6z8IK4dj_uY**
É **https://www.youtube.com/watch?v=vCzvH9nLZYA

**¥ WATCH ÒTHE SIMPSONS!Ó:** http://www.youtube.com/watch?v=bZivCw3bB6w

¥
Chapter 4: Trigonometry

**¥
Basic Trig IDs (handout in class): **Basic Trig IDs (revised from 5.1 notes: 3/8/18)

**¥ VISUALIZING THE SIX BASIC TRIG FUNCTIONS: **

http://www.kkuniyuk.com/TrigSixParts.pdf
(revised 2/11/06)

¥
Chapter 5: Analytic Trigonometry

**¥
More Trig IDs (handout in class): **Handout.

¥
Chapter 6: Additional Topics in Trigonometry

**¥ KHAN ACADEMY ON EULERÕS FORMULA.**** (Do you have emotion?)**

https://www.youtube.com/watch?v=mgNtPOgFje0

¥
Chapter 7: Systems of Equations and Inequalities

¥
Chapter 8: Matrices and Determinants

¥
Chapter 9: Discrete Math

**¥ SECTION 9.4: KHAN ACADEMY ON INDUCTION: **https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

**¥ SECTION 9.5: VIDEOS AND PASCALÕS TRIANGLE MAGIC: CLICK ON **Notes for Final

¥
Chapter 10: Conics and Polar Coordinates [as time permits] (Ch.10 is mostly
handwritten.)

**¥ ANIMATION ON CONICS**

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The double-nappe cone (or simply ÒconeÓ) here should not be thought of
as finite, so there are no ÒbasesÓ and there is no Òbase perimeter.Ó The term ÒdirectrixÓ
is used elsewhere, especially when describing parabolas.

¥
In previous semesters, the final was cumulative. For
your information, here was the outline provided: Math141OldFinalOutline.pdf

** ¥ Syllabus (Spring 2019): **Syllabus

*¥ Homework Assignments*

¥
Printed hard copies of these will be provided in class.

**GO THROUGH MY HOME PAGE (OR SEE ME) IF YOU'D LIKE TO KEEP YOUR
NAME "PRIVATE" ON YOUR HOMEWORK.**

#1-A:
HW É Answers É (Ch.0 in my
notes) (9 points) É (revised 1/19/16)

#1-B:
HW É Answers É (Ch.1) (6
points) É (revised 9/3/15)

#2:
HW É Answers É (Chs.2 and
3) (15 points) É (revised 9/16/16)

#3:
HW É Answers É (Ch.4) (15
points) É (revised 9/29/18 – minor edits)

#4:
HW É Answers É (Chs.5 and
6) (15 points) É (revised 4/1/17 – minor edits)

#5:
HW É Answers É (Chs.7-10)
(25 points). (revised 5/1/18
– minor edit)

PolarGraphPaper
(Ch.10; created using *Mathematica*
with *Microsoft Word*)

*¥ Old Exams and Solutions (Fall 2018)*

¥
__Disclaimer__: Your exams might look very different from these! Lengths of
exam times may be different.

¥
If your printer is broken, you can ask me for printed
hard copies in my office hours.

Quiz 1A É Solutions (1 hour and
15 minutes)

¥
Chapter 0: Preliminary Topics

Quiz 1B É Solutions (45 minutes)

¥
Chapter 1: Functions

Midterm #2 É Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)

¥
Chapter 2: Polynomial and Rational Functions

¥
Chapter 3: Exponential and Logarithmic Functions

Midterm #3 É Solutions (40 minutes
for Part 1; 1 hour and 30 minutes for Part 2)

¥
Chapter 4: Trigonometry

Midterm #4 É Solutions (40 minutes
for Part 1; 1 hour and 30 minutes for Part 2)

¥
Chapter 5: Analytic Trigonometry

¥
Chapter 6: Additional Topics in Trigonometry

Final É Solutions (2 hours
and 20 minutes). Material covered in later terms may differ.

¥
Chapter 7: Systems of Equations [and Inequalities] (Sections 7.5, 7.6 not on Final.)

¥
Chapter 8: Matrices and Determinants
(Sections 8.3, 8.5 not on Final.)

¥
Chapter 9: Discrete Math

¥
Chapter 10: Conics and Polar Coordinates

*¥ Current Exams and Solutions (Spring 2019)*

Quiz 1A É Solutions (1 hour and
15 minutes)

¥
Chapter 0: Preliminary Topics

Quiz 1B É Solutions (50 minutes)

¥
Chapter 1: Functions

¥
Exams and solutions will be posted about a week after you take them.

Email me (I
encourage corrections!) É HOME